50+ x = 1250 - x
Iknow the answer is 46.15 but I can not remember how to manipulate the equation to arrive at this answer. Any help is appreciated.
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5. -11 pointsSEssCalcET2 7.3.037. The region bounded by the given curve is rotated about the specified axis. Find the volume v of the resulting solid by any method. x (y 2)2 4; about the y-axis Need Help? Read It LWatchR Chat About 6. -/1 pointsSEssCalcET2 7.3.503 XP. use the method.

solve 4+x/x^3+ 2-6x/x^3
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4. The height of a ball thrown into the air is described by a certain function f(x). When the ball reaches its maximum height, a. Is f?(x) positive, negative, or zero? Explain your reasoning. b Is f??(x) positive, negative, or zero? Explain your reasoning.
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5. Let F = Z5. Is there a polynomial g(x) such that g(x)(2x+1) is congruent to 1 modulo x2+1? If yes, please find g, if not, please prove it.
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4. For the polynomial f(x) = 3x^2+2x + 1 and the value of x = 1, list in order the successive values of S that occur in the calculation of f(x) by i. the algorithm described in Problem 2 Step 1.Set P= 1 Step 2. for i =1 to n,.

4. The total revenue and total cost for a product are related to production, X by: TR = 30x - 3x2 +1000 TC = x3 -12x2 + 500 a. How many units will maximize total revenue? b. How many units will minimize total cost?
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4. For , we define as the real number a such that a2 = n. Show that if an integer n>1 is composite, then it has a prime less than or equal to . 5. Use the prime decomposition to find gcd (2475,-1035)..

4. Which of the following are subspaces of F(-infinity, infinity)? (a) All functions f in F(-infinity, infinity) for which f(0) = 0. (b) All functions f in F(-infinity, infinity) for which f(0) = 1. (c) All functions f in F(-infinity, infinity) for which f(-x) = f(x) (d) All polynomials of.

(5 points) Two runners run in a straight line and their positions are given by functions g(t) and h(t), where t is the time in seconds, and g(t) is the number of meters from the starting point for the first runner and h(t) is the number of meters from the.

|44| = 1100(1 + r)^8
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5. -5.88 points LarCalc10 10.2.055 Find a set of parametric equations for the rectangular equation that satisfies the given condition. (Enter your answers as a comma-separated list.) y x 2, t 4 at the point (4, 16) Need Help? Read it L Watch It Talk to a Tutor
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4. In modelling the digestion process in insects, it is believed that digestion yield rate Y , in mass per time, is related to the concentration C of the limiting nutrient, the residence time T in the gut, the gut volume V , and the rate of nutrient breakdown r,.

4. (CS application: graph theory) This problem is based on an example in [ HP05 ]. Figure 2 shows a network in which the nodes A , B , C , and E are input nodes and node D an output node. For example, some type of liquid may enter.

- 4(8 + 6x) = - 296
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4. Determine which of the following define equivalence relations in R^2. If the realtion fails to be an equivalence relation, identify at least one property that does not hold and give an example to demonstrate. If the relation is indeed an equivalence relation, give a geometrical interpretation of the quotient.

solve 4x-2y-3z=5
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5.
Let D be a nonempty subset of R, and suppose that f: D rightarrow R. If T is a nonempty subset of D and the maximum of D is 1, then sup f(T) f(l). Let D be a nonempty subset of R, and suppose that f:.